|
This article is cited in 27 scientific papers (total in 28 papers)
On the class field tower
E. S. Golod, I. R. Shafarevich
 Full text:
PDF file (1001 kB)
Bibliographic databases:
 
Received: 19.12.1963
Citation:
E. S. Golod, I. R. Shafarevich, “On the class field tower”, Izv. Akad. Nauk SSSR Ser. Mat., 28:2 (1964), 261–272
Citation in format AMSBIB
\Bibitem{GolSha64}
\by E.~S.~Golod, I.~R.~Shafarevich
\paper On the class field tower
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1964
\vol 28
\issue 2
\pages 261--272
\mathnet{http://mi.mathnet.ru/izv2955}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=161852}
\zmath{https://zbmath.org/?q=an:0136.02602}
Linking options:
http://mi.mathnet.ru/eng/izv2955 http://mi.mathnet.ru/eng/izv/v28/i2/p261
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
A. F. Lavrik, “A method for estimating double sums with real quadratic character, and applications”, Math. USSR-Izv., 5:6 (1971), 1195–1214
  -
I. V. Andozhskii, “On some classes of closed pro-$p$-groups”, Math. USSR-Izv., 9:4 (1975), 663–691
-
R. I. Grigorchuk, “Degrees of growth of finitely generated groups, and the theory of invariant means”, Math. USSR-Izv., 25:2 (1985), 259–300
-
I. V. Andozhskii, V. M. Tsvetkov, “Analytic pro-$p$-groups of rank $3$ and closed pro-$p$-groups of type $(3,4)$”, Math. USSR-Izv., 27:3 (1986), 593–599
-
R. I. Grigorchuk, “On the Hilbert–Poincaré series of graded algebras associated with groups”, Math. USSR-Sb., 66:1 (1990), 211–229
 -
D. I. Piotkovskii, “On the growth of graded algebras with a small number of defining relations”, Russian Math. Surveys, 48:3 (1993), 211–212
 -
R. I. Grigorchuk, “Funktsii rosta, perepisyvayuschie sistemy i eilerova kharakteristika”, Matem. zametki, 58:5 (1995), 653–668
-
E. S. Golod, “Non-commutative complete intersections and the homology of a Shafarevich complex”, Russian Math. Surveys, 52:4 (1997), 830–831
-
D. I. Piontkovskii, “Hilbert series and their relations in algebras”, Russian Math. Surveys, 53:6 (1998), 1360–1361
-
D. I. Piontkovskii, “On Hilbert series and the homology of PI-algebras”, Sb. Math., 189:11 (1998), 1685–1700
-
D. I. Piontkovskii, “Hilbert series and relations in algebras”, Izv. Math., 64:6 (2000), 1297–1311
-
D. I. Piontkovskii, “On graded algebras of global dimension 3”, Izv. Math., 65:3 (2001), 557–568
 -
M. A. Tsfasman, S. G. Vlăduţ, “Infinite global fields and the generalized Brauer–Siegel theorem”, Mosc. Math. J., 2:2 (2002), 329–402
-
D. I. Piontkovskii, “On differential graded Lie algebras”, Russian Math. Surveys, 58:1 (2003), 189–190
-
Proc. Steklov Inst. Math., 241 (2003), 98–109
-
L. Hammoudi, “Nil-algebras and infinite groups”, J. Math. Sci., 144:2 (2007), 4004–4012
-
D. I. Piontkovski, “On the Kurosh problem in varieties of algebras”, J. Math. Sci., 163:6 (2009), 743–750
-
E. Aladova, B. Plotkin, “PI-groups and PI-representations of groups”, J. Math. Sci., 164:2 (2010), 155–162
-
N. V. Maslova, D. O. Revin, “Finite groups whose maximal subgroups have the Hall property”, Siberian Adv. Math., 23:3 (2013), 196–209
-
D. R. Hirschfeldt, B. Khoussainov, “Finitely presented expansions of computably enumerable semigroups”, Algebra and Logic, 51:5 (2012), 435–444
-
Ershov M., “Golod-Shafarevich Groups: a Survey”, Int. J. Algebr. Comput., 22:5 (2012), 1230001
-
A. V. Timofeenko, “Finite systems of generators of infinite subgroups of the Golod group”, Discrete Math. Appl., 23:5-6 (2013), 491–501
-
Belolipetsky M., Linowitz B., “On Fields of Definition of Arithmetic Kleinian Reflection Groups II”, Int. Math. Res. Notices, 2014, no. 9, 2559–2571
-
A. A. Klyachko, A. K. Mongush, “Residually Finite Algorithmically Finite Groups, Their Subgroups and Direct Products”, Math. Notes, 98:3 (2015), 414–418
-
V. A. Artamonov, V. M. Buchstaber, È. B. Vinberg, L. V. Kuz'min, V. S. Kulikov, V. N. Latyshev, A. V. Mikhalev, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, “Evgenii Solomonovich Golod (obituary)”, Russian Math. Surveys, 74:5 (2019), 927–933
-
Roman V. Mikhailov, “An Example of a Fractal Finitely Generated Solvable Group”, Proc. Steklov Inst. Math., 307 (2019), 125–129
-
S. O. Gorchinskiy, Vik. S. Kulikov, A. N. Parshin, V. L. Popov, “Igor Rostislavovich Shafarevich and His Mathematical Heritage”, Proc. Steklov Inst. Math., 307 (2019), 1–21
-
Damron M., Gravner J., Junge M., Lyu H., Sivakoff D., “Parking on Transitive Unimodular Graphs”, Ann. Appl. Probab., 29:4 (2019), 2089–2113
|
| Number of views: |
| This page: | 1736 | | Full text: | 796 | | First page: | 6 |
|
Terms of Use